Least Common Multiple (LCM) of 125 and 143
The least common multiple (LCM) of 125 and 143 is 17875.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 125 and 143?
First, calculate the GCD of 125 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 143 = 0 remainder 125 |
| 2 | 143 ÷ 125 = 1 remainder 18 |
| 3 | 125 ÷ 18 = 6 remainder 17 |
| 4 | 18 ÷ 17 = 1 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 27 | 108 |
| 176 and 179 | 31504 |
| 103 and 140 | 14420 |
| 17 and 50 | 850 |
| 129 and 94 | 12126 |